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Finding the Fourth Proportional to 1,372.97, 2,059.42 and 551.02

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Solution

The fourth proportional to 1,372.97, 2,059.42 and 551.02 is: 826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.97 : 2,059.42 = 551.02 : x
  2. Step 2: Convert to fraction form
    1,372.97/2,059.42 = 551.02/x
  3. Step 3: Cross multiply
    1,372.97x = 2,059.42 × 551.02
  4. Step 4: Simplify right side
    1,372.97x = 1,134,781.61
  5. Step 5: Solve for x
    x = 1,134,781.61/1,372.97
  6. Step 6: Final answer
    x = 826.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.